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A DUALITY FOR SPIN VERLINDE SPACES AND PRYM THETA FUNCTIONS

Published online by Cambridge University Press:  05 July 2001

C. PAULY  and
S. RAMANAN
C. PAULY
Affiliation:
Laboratoire J.-A. Dieudonné, Université de Nice Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 02, France; [email protected]
S. RAMANAN
Affiliation:
Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India; [email protected]
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Abstract

The paper proves canonical isomorphisms between Spin Verlinde spaces, that is, spaces of global sections of a determinant line bundle over the moduli space of semistable Spinn-bundles over a smooth projective curve C, and the dual spaces of theta functions over Prym varieties of unramified double covers of C.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 63 , Issue 3 , June 2001 , pp. 513 - 532
Copyright
The London Mathematical Society 2001

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